摘要
本文以钢框架结构为研究对象,在非线性连续介质力学的有限形变理论的基础上,通过最小二乘法,采用无网格伽辽金法推导出梁柱几何非线性刚度矩阵,建立了相应的无网格法离散化系统方程,针对一榀典型钢框架,给出了其几何非线性无网格法分析结果并与有限元分析结果进行了对比,验证了本文方法的实用性和可靠性。
In this paper, the steel frames are taken as the subject for study. Based on the finite deformation theory of nonlinear continuum mechanics, a geometrical nonlinear stiffness matrix of beam-column and the discretization system equation are obtained by using the least square and the element free Galerkin method. By contrasting the results of the finite element analysis and the element free Galerkin method for a geometrical nonlinear analysis of a typical steel frame, the application and reliability of the proposed method are verified.
出处
《建筑钢结构进展》
2009年第1期46-48,62,共4页
Progress in Steel Building Structures
关键词
钢框架
无网格伽辽金法
几何非线性
非线性连续介质力学
有限变形理论
steel frame
element free Galerkin method
geometrical nonlinearity
nonlinear continuum mechanics
finite deformation theory
